10 men 6 women and 9 boys were given a project of doing 2000 designs of a building in 5 days Al...........

Quantitative Aptitude ( CCS) Time and work

10 men , 6 women and 9 boys were given a project of doing 2000 designs of a building in 5 days. All of them designed on the first day. On the second day 2 women and 3 boys are absent. On the third day , 3 men and and 5 boys are absent. If the ratio of the number ofdesigns done by them is in the ratio 3 : 2 : 1 respectively. Then find the number of designs designed by them on the second day (approx.)?

620

600

667

650

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Explanation:

Solution:
Let the ratio be 3x : 2x : 1x
Designs of building on the first day = 10 * 3x + 6 * 2x + 9 * x = 51x
On the second day = 10 * 3x + 4 * 2x + 6 *x = 44x
On the third day = 7 *3x + 6 * 2x + 4 * x = 37x
Now, 51x + 44x + 37x = 2000
=> 132x = 2000
Therefore, 2000/132*44 = 666.66 = 667 (approx.)